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148968648 = 23322069009
BaseRepresentation
bin10001110000100…
…01010011001000
3101101022101120100
420320101103020
5301113444043
622440525400
73456132633
oct1070212310
9341271510
10148968648
11770a8394
1241a80860
1324b2a63a
1415adac1a
15d128cd3
hex8e114c8

148968648 has 24 divisors (see below), whose sum is σ = 403456950. Its totient is φ = 49656192.

The previous prime is 148968647. The next prime is 148968667. The reversal of 148968648 is 846869841.

It can be written as a sum of positive squares in only one way, i.e., 145878084 + 3090564 = 12078^2 + 1758^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 148968594 and 148968603.

It is not an unprimeable number, because it can be changed into a prime (148968647) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1034433 + ... + 1034576.

Almost surely, 2148968648 is an apocalyptic number.

148968648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

148968648 is an abundant number, since it is smaller than the sum of its proper divisors (254488302).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

148968648 is a wasteful number, since it uses less digits than its factorization.

148968648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069021 (or 2069014 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 148968648 is about 12205.2713202124. The cubic root of 148968648 is about 530.1087328829.

The spelling of 148968648 in words is "one hundred forty-eight million, nine hundred sixty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2069009 4138018 6207027 8276036 12414054 16552072 18621081 24828108 37242162 49656216 74484324 148968648